Answer:
<u>(r³)⁻² = r ³ ˣ ⁻² = r ⁻⁶ = 1/r⁶</u>
Step-by-step explanation:
1. Let's recall the rules about the power of a power and the rule of negative exponents to simplify the expression provided:
The first rule tells us that to raise a power to a power, just multiply the exponents. Here you see that r³ raised to the ⁻² power.
The second rule says that any number different than zero, raised to a negative power equals its reciprocal raised to the opposite positive power.
Thus, x ⁻ⁿ = 1/x ⁿ
2. Now, let's find the equivalent after following these rules:
<u>(r³)⁻² = r ³ ˣ ⁻² = r ⁻⁶ = 1/r⁶</u>
